Topological magnons on triangular antiferromagnetic lattices in an external field

The influence of topological magnons of the antiferromagnet in triangular lattice on Hall spin conductivity and thermodynamics is investigated. The magnons splitting due to the triangular lattice geometry leads to a complex and interesting behavior in all quantities analyzed of the system. We get the behavior of the Hall spin conductivity as a function of T as well as the specific heat, magnetization and magnetic susceptibility, where the behavior of the Hall spin conductivity decreases at low-temperature limit, dropping to zero at T → 0 as expected for all bosonic system. Moreover, we get the behavior of the magnetization as a function of field h presenting problems of convergence at h → 0 which is expected for the two-dimensional like Heisenberg model.